100261620 has 72 divisors (see below), whose sum is σ = 304949736. Its totient is φ = 26664192.

The previous prime is 100261549. The next prime is 100261627. The reversal of 100261620 is 26162001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 820836 + 99440784 = 906^2 + 9972^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100261593 and 100261602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100261627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117114 + ... + 117966.

It is an arithmetic number, because the mean of its divisors is an integer number (4235413).

Almost surely, 2^100261620 is an apocalyptic number.

100261620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100261620 is an abundant number, since it is smaller than the sum of its proper divisors (204688116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100261620 is a wasteful number, since it uses less digits than its factorization.

100261620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100261620 is about 10013.0724555453. The cubic root of 100261620 is about 464.5633083707.

The spelling of 100261620 in words is "one hundred million, two hundred sixty-one thousand, six hundred twenty".